What is the derivative of y=e^{2x-x^2} ?

The derivative of y=e^{2x-x^2} is e^{2x-x^2}(2-2x)

What is the first derivative of y=e^{2x-x^2} ?

The first derivative of y=e^{2x-x^2} is e^{2x-x^2}(2-2x)

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derivative of

y = e^{2 x - x^{2}}

e^{2 x - x^{2}} (2 - 2 x)

Solution steps

\frac{d}{d x} (e^{2 x - x^{2}})

Apply the chain rule:

e^{2 x - x^{2}} \frac{d}{d x} (2 x - x^{2})

= e^{2 x - x^{2}} \frac{d}{d x} (2 x - x^{2})

\frac{d}{d x} (2 x - x^{2}) = 2 - 2 x

= e^{2 x - x^{2}} (2 - 2 x)

What is the derivative of y=e^{2x-x^2} ?
The derivative of y=e^{2x-x^2} is e^{2x-x^2}(2-2x)
What is the first derivative of y=e^{2x-x^2} ?
The first derivative of y=e^{2x-x^2} is e^{2x-x^2}(2-2x)